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Autor
Guo Bao-Zhu (Academy of Mathematics and Systems Science, Academia Sinica Beijing, P.R.China), Yang D. H. (School of Mathematics, Central South University Changsha, P.R.China)
Tytuł
On Existence of Shape Optimization for a p-Laplacian Equation over a Class of Open Domains
Źródło
Control and Cybernetics, 2014, vol. 43, nr 1, s. 15-31, aneks, bibliogr. s. 29-31
Słowa kluczowe
Teoria optymalizacji, Teoria kontroli
Optimization theory, Control theory
Uwagi
summ.
Abstrakt
In this paper, we introduce four new classes of open sets in general Euclidean space RN. It is shown that every such class of open sets is compact under the Hausdorff distance. The result is applied to a shape optimization problem of p-Laplacian equation. The existence of the optimal solution is presented. (original abstract)
Dostępne w
Biblioteka Główna Uniwersytetu Ekonomicznego w Krakowie
Biblioteka Szkoły Głównej Handlowej w Warszawie
Pełny tekst
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Bibliografia
Pokaż
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  9. Guo, B.Z. and Yang, D.H. (2013) On convergence of boundary Hausdorff measure and application to a boundary shape optimization problem. SIAM J. Control Optim. 51 (1), 253-272.
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  11. Heinonen, J., Kilpelainen, T. and Martio, O. (2006) Nonlinear Potential Theory of Degenerate Elliptic Equation. Dover Publications, Mineola.
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  17. Tiba, D (2003) A property of Sobolev spaces and existence in optimal design. Appl. Math. Optim. 47 (1), 45-58.
  18. Tiba, D. (2013) Finite element discretization in shape optimization problems for the stationary Navier-Stokes equation. System Modeling and Optimization. IFIP Advances in Information and Communication Technology. 391, 437-444.
  19. Tiba, D. and Halanay, A. (2009) Shape optimization for stationary Navier- Stokes equations. Control Cybernet. 38 (4B), 1359-1374.
  20. Wang, G., Wang, L. and Yang, D.H. (2006) Shape Optimization of exterior domain stationary Navier-Stokes equations. SIAM. J. Control Optim. 45 (2), 532-547.
  21. Wang, G. and Yang, D.H. (2008) Decomposition of vector-valued divergence free Sobolev functions and shape optimization for stationary Navier- Stokes equations. Comm. Partial Differential Equations. 33 (1-3), 429- 449.
  22. Yang, D.H. (2009) Shape optimization of stationary Navier-Stokes equation over classes of convex domains. Nonlinear Anal. 71 (12), 6202-6211.
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ISSN
0324-8569
Język
eng
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